Skip to main content
Baccarat Smart
  1. Home
  2. Third-Card Rule Chart
  3. Resolution #169
FINAL TOTAL RESOLUTION [RES169] · 6-CARD PROOF

Player 0 + 8 (8) vs. Banker 2 (Draws 4 (4)): 6-Card Resolution #169

In walkthrough RES169, Player opens with 10+K (0) and draws fifth-card 8 (8) for a modulo-10 total of 8, while Banker opens with 10+2 (2) and draws sixth-card 4 (4) for 6 (6-card P outcome).

RES169 Player Path
P:0->8
RES169 Banker Path
B:2->6
RES169 Deal Length
6 Cards
RES169 Showdown
P (8v6)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

Open this shoe in /calculator
Big Road B B P P P B B B B P P B P P P B B B P B
Big Eye Boy = ≠ ≠ = = ≠ ≠ = ≠ ≠ ≠ = ≠ = = = ≠
Small Road = ≠ = ≠ = ≠ ≠ = ≠ ≠ ≠ = ≠ ≠
Cockroach Pig = = ≠ = = ≠ = ≠ ≠ =

Scoreboard sequence paired with 6-card resolution RES169 (P0+8->8 vs B2->6).

Big Road B is Banker, P is Player Roads under it Red (=): repeating Blue (≠): breaking
Step-by-Step Mark Proofs (Rule 1 & Rule 2)
Big Eye Boy Mark #3

Column 2 has 3 beads. Column 1 has 2 beads. Different depth → blue (≠).

  1. Column 3 starts, so use Rule 1: compare Column 2 with Column 1, 1 column further back.
  2. Column 2 has 3 beads. Column 1 has 2 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 2, the one that just finished, with Column 1.

Small Road Mark #3

This bead is at Row 4. Column 1 stopped at Row 2, more than one row above → red (=).

  1. Column 3 goes down to Row 4, so use Rule 2: look 2 columns back, at Column 1.
  2. Column 1 stopped at Row 2, more than one row above → red (=).

Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 1 stopped exactly one row above this bead.

Cockroach Pig Mark #3

Column 5 has 1 bead. Column 2 has 3 beads. Different depth → blue (≠).

  1. Column 6 starts, so use Rule 1: compare Column 5 with Column 2, 3 columns further back.
  2. Column 5 has 1 bead. Column 2 has 3 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 5, the one that just finished, with Column 2.

Verified Reference Data

Key Facts & Table Specifications

RES169 Four-Card Opening Deal
Player 10+K=0 vs Banker 10+2=2

Verified non-natural start via handTotal([10,K])=0 and handTotal([10,2])=2.

RES169 Fifth-Card Modulo Proof
(0 + 8) mod 10 = 8 via 8

Player draws fifth-card 8 (value 8), transforming two-card 0 into three-card 8.

RES169 Banker Tableau Lookup
BANKER_TABLEAU[2][8] = true

Banker 2 draws sixth-card 4 (4) so (2+4) mod 10 = 6.

RES169 Card Count & Winner
6 Cards -> P (8 vs 6)

Computed directly from resolveHand() with zero discretionary dealer options.

RES169 Derived Road Independence
Red (=) / Blue (≠) Symmetry Only

Big Eye Boy, Small Road, and Cockroach Pig compare Big Road column depths, not P vs B.

MODULO-10 ARITHMETIC · RES169

Step-by-Step Card Arithmetic for RES169: P(10+K)+8 vs B(10+2)

[RES169] Walkthrough #169 begins with Player holding 10+K (0) against Banker 10+2 (2); since neither side holds 8 or 9, Player draws fifth-card 8 (8) so 0+8=8 applies base-10 modular addition to 8.

[RES169-B] Acting on 8=8 inside [RES169], Banker 2 follows 2-point mandatory draw band and pulls 4 (4) for 2+4=6 -> 6.

Complete 6-Card Resolution Trace for RES169
RES169 StageRES169 CardsRES169 Modulo MathRES169 Status
[RES169:Init]P(10+K)=0 vs B(10+2)=2playerShouldDraw(0)=true4-Card Deal
[RES169:5th]Player +8 (8)(0+8) mod 10 = 85th Card Sideways
[RES169:6th]Banker +4 (4)(2+4) mod 10 = 66-Card Final
[RES169:Settle]P=8 vs B=6Winner: PBig Road +P
  • [RES169-1] Confirm [RES169] opening P=0 (10+K) and B=2 (10+2) lack Natural 8/9.
  • [RES169-2] Add [RES169] fifth-card 8 (8) to P=0 for (0+8) mod 10 = 8.
  • [RES169-3] Run [RES169] BANKER_TABLEAU[2][8]=true to settle 8 vs 6 (P).
SETTLEMENT & SCOREBOARD · RES169

Showdown Settlement & Scoreboard Logging for RES169 (8 vs 6)

[RES169-C5] Comparing [RES169] final totals (6c), Player 8 vs Banker 6 awards [RES169] to Player (P), which pays 1:1 even money on [RES169] Player boxes with zero commission deducted and appends P to BBPPPBBBBP.

[RES169-D8] Side-bet & road check for [RES169] (P0+8->8 vs B2->6, 6c): [RES169] leaves [RES169] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=6) and triggers [RES169] Panda 8 (winning 3-card Player 8, 25:1); on [RES169] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES169, Banker 2 evaluates Player's three-card total (8) before deciding whether to draw.
TruthBanker 2 inspects only Player's fifth card 8 (value 8) via BANKER_TABLEAU[2][8] = true.
MythBecause RES169 resolves as P, the next derived-road mark must match P's colour.
TruthDerived roads record Red (=) when Big Road structure repeats and Blue (≠) when it breaks—never Banker or Player.
6 modules · 36 lessons · $25/month · Module 1 (10 lessons) free

Read Every Derived Road at Table Speed

Every reference guide, glossary definition, and road calculator on Baccarat Smart is open for everyone. When you want all 6 modules and 36 lessons (about 5.5 hours of lessons) organized in structured step-by-step order with 74 hands-on boards, 94 quiz checks along the way, and Cloud Shoe Log sync across web, iPhone, and Android, start Module 1 (10 lessons, about 64 minutes of lessons) free or unlock full membership for $25 a month.

  • Structured step-by-step track across Foundations, Big Eye Boy, Small Road, and Cockroach Pig
  • 74 interactive lesson scoreboards and 94 inline quiz checks with plain-English mark feedback
  • Cloud Shoe Log and cross-device progress on web, iOS, and Android